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Synchronization of Chaotic Storage-Ring Free-Electron Laser by Bi-Directional Coupling Scheme with the Coupling Strength Varied Periodically |
HUANG Liang-Yu;LUO Xiao-Shu |
College of Physics and Information Technology, Guangxi Normal University, Guilin 541004 |
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Cite this article: |
HUANG Liang-Yu, LUO Xiao-Shu 2006 Chin. Phys. Lett. 23 297-300 |
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Abstract We analyse the chaotic dynamics of storage-ring free-electron lasers and report a bi-directional coupled scheme with the coupling strength varied periodically to synchronize two chaotic storage-ring free-electron lasers. The period is the same as the period of system's external modulation. The possibility of synchronization is proven according to the Lyapunov stability theory. The results of numerical simulation are obtained. Both the numerical simulation and theoretic analysis show that two storage-ring free-electron lasers can be controlled in the synchronization in a short time with this method.
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Keywords:
05.45.Ac
05.45.Gg
42.65.Sf
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Published: 01 February 2006
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PACS: |
05.45.Ac
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(Low-dimensional chaos)
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05.45.Gg
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(Control of chaos, applications of chaos)
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42.65.Sf
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(Dynamics of nonlinear optical systems; optical instabilities, optical chaos and complexity, and optical spatio-temporal dynamics)
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